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Chapter 1: Problem 604

Translate each phrase to math notation and then simplify. The product of 9 and 15

Short Answer

Expert verified
135

Step by step solution

01

Understand the Phrase

Identify the key components of the phrase 'The product of 9 and 15'. 'Product' indicates multiplication.
02

Convert to Mathematical Notation

Translate the phrase 'The product of 9 and 15' to math notation: 9 脳 15.
03

Simplify the Expression

Calculate the product of 9 and 15: 9 脳 15 = 135.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

product in math
In mathematics, the term 'product' refers to the result of multiplying two or more numbers together. When you see the word 'product' in a problem, it's a signal that you need to perform a multiplication calculation.

The product operation is one of the four basic operations in arithmetic, along with addition, subtraction, and division. Understanding the concept of a product is essential for solving many types of mathematical problems.

For example, when the problem states, 'The product of 9 and 15,' you should recognize that it requires you to multiply 9 by 15. The result, or product, of 9 and 15 is 135.
multiplication
Multiplication is one of the fundamental operations in arithmetic. It combines two numbers into a single product. The numbers being multiplied are called 'factors'.

Imagine you have 9 groups of 15 items each. To find the total number of items, you multiply 9 by 15. This process of combining equal groups is what multiplication is all about.

Here's what happens when you multiply:
  • You align the values of the factors.
  • You multiply each digit of one factor with each digit of the other factor.
  • You add up all the resulting products.
In our example, multiplying 9 by 15 gives us:

9 脳 15 = 135.
simplifying expressions
Simplifying expressions means making a mathematical expression as simple as possible. This often involves performing the arithmetic operations involved, like addition, subtraction, multiplication, or division.

When simplifying a multiplication expression such as 'The product of 9 and 15,' your primary task is to perform the multiplication operation to get a single number.

Let's break it down further:
  • First, identify the operation (in this case, multiplication).
  • Next, perform the operation on the given numbers.
  • The result is a single, simplified expression.
For our example:
Start with the expression: 9 脳 15.
Perform the multiplication: 9 脳 15 = 135.
This gives us the simplified expression: 135.

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Most popular questions from this chapter

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Divide. Then check by multiplying. $$\frac{97}{1}$$

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